The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes.&nbsp;(b)Find 𝜇 (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)𝜇 = &nbsp; &nbsp; &nbsp; &nbsp; syringesWhat is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)&nbsp;(c)What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)&nbsp;(d)Find 𝜎 (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)𝜎 = &nbsp;syringes

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The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes.&amp;nbsp;(b)Find 𝜇 (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)𝜇 = &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; syringesWhat is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)&amp;nbsp;(c)What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)&amp;nbsp;(d)Find 𝜎 (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)𝜎 = &amp;nbsp;syringes

Jazz Frenia · Accepted Answer

Given that the batch contains 1% defective syringes and the inspector will reject a batch if two or more defective syringes are found in a random sample of twelve syringes, we can find the mean (μ) and expected number of defective syringes.To find the mean (μ), we multiply the probability of a defective syringe (p) by the total number of syringes (n):μ = p * nHere, p = 1% = 0.01 (probability of a defective syringe)n = 12 (total number of syringes)Substituting the values, we have:μ = 0.01 * 12 = 0.12 syringesTherefore, the mean (μ) is 0.12 syringes.To find the expected number of defective syringes, we use the same formula:Expected number of defective syringes = p * nSubstituting the values, we have:Expected number of defective syringes = 0.01 * 12 = 0.12Therefore, the expected number of defective syringes the inspector will find is 0.12.

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